Invergordon Development Trust hopes to transform the Victorian building into a community hub.
Invergordon Museum said its attempt to safeguard the Sir John Gordon bust had hit a "critical impasse".
Tom Stoltman, a 32-year-old, 6ft 8in athlete from the Highlands, will join the cast of the BBC Saturday night primetime show for the fourth series.
Highland Council says the buyer has five months to raise the money for the Sir John Gordon bust.
The winning images were taken across Scotland, including in the Highlands and Fife.
The first minister said the centres would ease capacity pressures on family doctors.
The move is made in a bid to ensure the bust of Sir John Gordon goes to a gallery or museum in the UK.
Highland Council says the roundabout near Tomich would also help handle traffic to green freeport sites.
The Scottish strongman spoke to Steven Mill and Amy Irons on BBC Scotland's Saturday Show about his love of Taylor Swift.
